Grade 2 measurement worksheet comparing weights using balance scales.

Problem Analysis:

The worksheet involves comparing the weights of different objects using a balance scale. The goal is to determine whether one object is heavier than, lighter than, or the same as another object based on the position of the balance scale.

Steps to Solve:

1. Understand the Balance Scale:
- If the left side of the scale goes down, the object on the left is heavier.
- If the right side of the scale goes down, the object on the right is heavier.
- If the scale remains balanced (no side goes down), the objects are the same weight.

2. Analyze Each Scale:
- For each pair of objects, observe which side of the scale goes down or if it remains balanced.

3. Fill in the Blanks:
- Use the observations to fill in the blanks with the appropriate phrase: "heavier than," "lighter than," or "the same as."

4. Answer Additional Questions:
- Compare the pitcher and pencil case.
- Compare the book and apple.

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Solution:

#### Scale 1: Pencil Case vs. Apple
- The pencil case is on the left, and the apple is on the right.
- The left side (pencil case) goes down.
- Conclusion: The pencil case is heavier than the apple.

#### Scale 2: Pitcher vs. Lamp
- The pitcher is on the left, and the lamp is on the right.
- The right side (lamp) goes down.
- Conclusion: The pitcher is lighter than the lamp.

#### Scale 3: Tennis Ball vs. Apple
- The tennis ball is on the left, and the apple is on the right.
- The scale is balanced.
- Conclusion: The tennis ball weighs the same as the apple.

#### Scale 4: Tennis Ball vs. Book
- The tennis ball is on the left, and the book is on the right.
- The right side (book) goes down.
- Conclusion: The tennis ball is lighter than the book.

#### Scale 5: Lamp vs. Book
- The lamp is on the left, and the book is on the right.
- The left side (lamp) goes down.
- Conclusion: The lamp is heavier than the book.

#### Scale 6: Pencil Case vs. Book
- The pencil case is on the left, and the book is on the right.
- The left side (pencil case) goes down.
- Conclusion: The pencil case is heavier than the book.

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Additional Questions:

1. Which one is heavier: pitcher or pencil case?
- From Scale 1, the pencil case is heavier than the apple.
- From Scale 2, the pitcher is lighter than the lamp.
- Since the pencil case is heavier than the apple and the pitcher is lighter than the lamp, we can infer that the pencil case is heavier than the pitcher.
- Answer: The pencil case is heavier.

2. Which one is lighter: book or apple?
- From Scale 3, the tennis ball weighs the same as the apple.
- From Scale 4, the tennis ball is lighter than the book.
- Since the tennis ball is the same weight as the apple and lighter than the book, the apple must be lighter than the book.
- Answer: The apple is lighter.

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Final Answers:

1. The pencil case weighs heavier than the apple.
2. The pitcher weighs lighter than the lamp.
3. The tennis ball weighs the same as the apple.
4. The tennis ball weighs lighter than the book.
5. The lamp weighs heavier than the book.
6. The pencil case weighs heavier than the book.
7. Which one is heavier: pitcher or pencil case?
Answer: The pencil case is heavier.
8. Which one is lighter: book or apple?
Answer: The apple is lighter.

Final Boxed Answer:
\[
\boxed{
\text{Pencil case is heavier than pitcher; Apple is lighter than book.}
}
\]